Bernie is purchasing $x$ packets of seeds and $y$ plants for his garden. He intends to buy a greater number of seed packets than plants, so the inequality $x > y$ represents this. He also wants fewer than 10 packets of seeds and no fewer than 2 plants.
(a)[2]
Write two further inequalities involving $x$ or $y$ to represent this information.
(b)[1]
Write one more inequality in $x$ and $y$ that shows this information.
(c)[5]
Draw the other three lines for your inequalities and shade the regions that are not wanted.
(d(i))[1]
Determine the greatest number of plants he is able to buy.
(d(ii))[1]
Work out the total cost of these packets of seeds and plants.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “So, $x<10$ oe” …